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2 years ago

What is the factored form of the expression? r^2 - 6r + 5

Mathematics

1 answer:

zubka84 [21]2 years ago

8 0

Answer:

$r^{2}-6r+5= (r-1)(r-5)$

Step-by-step explanation:

You can use the quadratic formula to find the root.

It's probably easier to recognize that (-1)(-5) = 5 and -1-5=-6, so the roots are -1 and -5.

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3 years ago

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3 years ago

The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a

Leya [2.2K]

Answer:

a) 0.25

b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question:

$m = 4$

a. Find the value of λ.

$\lambda = \frac{1}{m} = \frac{1}{4} = 0.25$

b. What is the probability that a person waits for less than 3 minutes?

$P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276$

52.76% probability that a person waits for less than 3 minutes

3 0

3 years ago

Sal has 3 of a sheet of poster board. Four friends are sharing the sheet equally. What fraction of the original sheet does each

Galina-37 [17]

Answer:

Step-by-step explanation:

3 sheets are shared between four friends.

Each friends will get = 3 ÷ 4

= $\frac{3}{4}$

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2 years ago

What is 68/5 simplified?

GalinKa [24]

Answer:

68/5 is already in the simplest form. It can be written as 13.6 in decimal form (rounded to 6 decimal places)

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3 years ago